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Finding the Fourth Proportional to 444.97, 614.00 and 248.45

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Solution

The fourth proportional to 444.97, 614.00 and 248.45 is: 342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 614.00 = 248.45 : x
  2. Step 2: Convert to fraction form
    444.97/614.00 = 248.45/x
  3. Step 3: Cross multiply
    444.97x = 614.00 × 248.45
  4. Step 4: Simplify right side
    444.97x = 152,547.06
  5. Step 5: Solve for x
    x = 152,547.06/444.97
  6. Step 6: Final answer
    x = 342.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.